Reader in Applied Mathematics
Deputy Director of Research
Statistical mechanics, Stochastic processes, Generative AI, Soft Condensed Matter
Publications of specific relevance to the Centre for Complex SystemsLimited column formation in the embryonic growth plate implies divergent growth mechanisms during pre- and postnatal bone development.Universal Poisson statistics of a passive tracer diffusing in dilute active suspensionsExponential increase of transition rates in metastable systems driven by non-Gaussian noiseMachine learning approaches for the optimization of packing densities in granular matterDisordered packings of binary mixtures of dimer particles
Universal Poisson statistics of a passive tracer diffusing in dilute active suspensionsStructural analysis of disordered dimer packingsStatistical Mechanics Built on SandKinetics of random sequential adsorption of two-dimensional shapes on a one-dimensional lineKinetics of random sequential adsorption of two-dimensional shapes on a one-dimensional lineLoopy Lévy flights enhance tracer diffusion in active suspensionsOptimal random deposition of interacting particlesOptimal random deposition of interacting particlesErratum: Anomalous Processes with General Waiting Times: Functionals and Multipoint Structure [Phys. Rev. Lett. 115, 110601 (2015)]Weak Galilean invariance as a selection principle for coarse-grained diffusive modelsWeak Galilean invariance as a selection principle for coarse-grained diffusive modelsEdwards Statistical Mechanics for Jammed Granular MatterShape universality classes in the random sequential adsorption of non-spherical particlesFeynman-Kac equation for anomalous processes with space- and
time-dependent forcesGaussian white noise as a resource for work extractionFeynman-Kac equation for anomalous processes with space- and time-dependent forcesGaussian white noise as a resource for microscopic enginesShape universality classes in the random sequential addition of non-spherical particlesGaussian white noise as a resource for microscopic enginesMicrorheology with Optical TweezersInterplay between consensus and coherence in a model of interacting opinions19aBR-11 Levy flights from active scatteringEdwards Statistical Mechanics for Jammed Granular MatterAnomalous Processes with General Waiting Times: Functionals and Multipoint StructureAdhesive loose packings of small dry particlesLangevin formulation of a subdiffusive continuous-time random walk in physical timeInterplay between consensus and coherence in a model of interacting opinionsLangevin formulation of a subdiffusive continuous time random walk in physical timeExponential increase of transition rates in metastable systems driven by non-Gaussian noiseAnomalous processes with general waiting times: functionals and multi-point structureAdhesive Loose Packings of Small ParticlesFundamental challenges in packing problems: from spherical to non-spherical particles.Fundamental challenges in packing problems: from spherical to non-spherical particlesCalculation of the Voronoi boundary for lens-shaped particles and spherocylindersWeak-noise limit of a piecewise-smooth stochastic differential equationMean-field theory of random close packings of axisymmetric particlesMean-field theory of random close packings of axisymmetric particles.Weak-noise limit of a piecewise-smooth stochastic differential equationRectification of asymmetric surface vibrations with dry friction: an
exactly solvable modelSingular features in noise-induced transport with dry frictionRectification of asymmetric surface vibrations with dry friction: an exactly solvable modelSingular features in noise-induced transport with dry frictionCalculation of the Voronoi boundary for lens-shaped particles and spherocylindersStick-slip motion of solids with dry friction subject to random vibrations and an external fieldStick-slip motion of solids with dry friction subject to random vibrations and an external fieldStatistical mechanics far from equilibrium: prediction and test for a sheared system.Nonequilibrium statistical mechanics of shear flow: invariant quantities and current relationsA path integral approach to random motion with nonlinear frictionNonequilibrium statistical mechanics of shear flow: invariant quantities and current relationsStatistical mechanics far from equilibrium: prediction and test for a sheared systemPath integral approach to random motion with nonlinear frictionSteady-state work fluctuations of a dragged particle under external and thermal noise.Steady state work fluctuations of a dragged particle under external and thermal noiseExact solution of a Brownian inchworm model for self-propulsionFluctuation properties of an effective nonlinear system subject to Poisson noise.Invariant quantities in shear flow.Fluctuation properties of an effective nonlinear system subject to Poisson noiseExact solution of a Brownian inchworm model for self-propulsionA fractional diffusion equation for two-point probability distributions of a continuous-time random walkProperties of a nonequilibrium heat bath.Properties of a non-equilibrium heat bathTwo-point correlation function of the fractional Ornstein-Uhlenbeck processA fractional diffusion equation for two-point probability distributions of a continuous-time random walkTwo-point correlation function of the fractional Ornstein-Uhlenbeck processValidation of the Jarzynski relation for a system with strong thermal coupling: an isothermal ideal gas model.Exact solution of a generalized Kramers-Fokker-Planck equation retaining retardation effects.Validation of the Jarzynski relation for a system with strong thermal coupling: an isothermal ideal gas modelAnomalous diffusion of inertial, weakly damped particles.Anomalous Diffusion of Inertial, Weakly Damped ParticlesInvestigation of a generalized Obukhov model for turbulenceInvestigation of a generalized Obukhov Model for TurbulenceJoint probability distributions for a class of non-Markovian processes.Joint Probability Distributions for a Class of Non-Markovian ProcessesLoopy Lévy flights enhance tracer diffusion in active suspensionsStructural analysis of disordered dimer packingsBone elongation in the embryo occurs without column formation in the growth plateGrants of specific relevance to the Centre for Complex SystemsMetastability in generative diffusion modelsThe UKRI Engineering and Physical Sciences Council (EPSRC) has awarded an £84,036 research grant for exploring Metastability in generative diffusion models to Adrian Baule, Reader in Applied Mathematics in the Centre for Complex Systems. The project will target the foundations of AI image, audio, and video generators such as DALL-E, Stable ... [more]
